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Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2013, Issue 3, Pages 27–31 (Mi itvs122)  
MATHEMATICAL MODELING

Algorithm to find a convex polyhedron with maximum size inscribed in other polyhedron

D. S. Kokorev

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Full-text PDF (235 kB)
Abstract: The article discusses problem of finding the polyhedrons given shape inside another polyhedrons. It is proposed method for finding the inscribed polyhedrons, based on the reduction of the problem to a nonlinear programming problem and its solutions with ready-made software resources. Also it is proposed possible optimizations to speed up the algorithm.
Keywords: convex polyhedrons, combinatorial structure, inscribed polyhedron, nonlinear programming problems, solver.
Document Type: Article
Language: Russian
Citation: D. S. Kokorev, “Algorithm to find a convex polyhedron with maximum size inscribed in other polyhedron”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2013, no. 3, 27–31
Citation in format AMSBIB
\Bibitem{Kok13}
\by D.~S.~Kokorev
\paper Algorithm to find a convex polyhedron with maximum size inscribed in other polyhedron
\jour Informatsionnye Tekhnologii i Vychslitel'nye Sistemy
\yr 2013
\issue 3
\pages 27--31
\mathnet{http://mi.mathnet.ru/itvs122}
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